Geometric and Topological Methods for Quantum Field Theory: Summer School on Geometric and Topological Methods for Quantum Field Theory, July 11-29, 2005, Villa de Leyva, Colombia
Sylvie Paycha · Bernardo Uribe
Jan 2007 · Contemporary mathematics - American Mathematical Society Book 434 · American Mathematical Soc.
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255
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About this ebook
This volume, based on lectures and short communications at a summer school in Villa de Leyva, Colombia (July 2005), offers an introduction to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. It is aimed at graduate students in physics or mathematics who might want insight in the following topics (covered in five survey lectures): Anomalies and noncommutative geometry, Deformation quantisation and Poisson algebras, Topological quantum field theory and orbifolds. These lectures are followed by nine articles on various topics at the borderline of mathematics and physics ranging from quasicrystals to invariant instantons through black holes, and involving a number of mathematical tools borrowed from geometry, algebra and analysis.
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